Apotter works 4 days a week, makes 14 pots per day on average, and charges $24 a pot. if she lowers her price to $16 a pot, by how many pots per day on average must she increase her production to make the same amount of money per 4-day workweek?

7 pots per day.

Step-by-step explanation:

A potter works 4 days a week, makes 14 pots per day and charges $24 a pot.

She earns =

4 (days) × 14 (pots) × 24 (charge) = $1,344

Now we have to find out number of pots production per day to make the same amount in a week, if she lowers her price to $16.

Let the number of pots now be x

Therefore,

$1,344 = (4) (x) (16)

1,344 = 64x

x = 1,344 ÷ 64

x = 21 pots per day

She already makes 14 pots. so the increment of the making pots would be

21 - 14 = 7 pots.

She must increase her production of 7 pots per day to make the same amount.

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

the answer will be b x² +x-1

step-by-step explanation: